Generation of continuous variable squeezing and entanglement of trapped ions in time-varying potentials

We investigate the generation of squeezing and entanglement for the motional degrees of freedom of ions in linear traps, confined by time-varying and oscillating potentials, comprised of a DC and an AC component. We show that high degrees of squeezing and entanglement can be obtained by controlling either the DC or the AC trapping component (or both), and by exploiting transient dynamics in regions where the ions’ motion is unstable, without any added optical control. Furthermore, we investigate the time-scales over which the potentials should be switched in order for the manipulations to be most effective.

• Publication year

  2009

• Venue

  Quantum Information Processing

• Publication date

  2009-04-27

• Fields of study

  Physics, Computer Science

• Identifiers
  DOI 10.1007/s11128-009-0141-xarXiv 0904.4258
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Entangled mechanical oscillators

  2009cited by this paper
• Steady state entanglement in the mechanical vibrations of two dielectric membranes.

  2008cited by this paper
• Manipulating the quantum information of the radial modes of trapped ions: linear phononics, entanglement generation, quantum state transmission and non-locality tests

  2008cited by this paper
• Observation of squeezed light with 10-dB quantum-noise reduction.

  2007influential reference
• Nonlinear coupling of continuous variables at the single quantum level

  2007cited by this paper
• Observation of -9 dB quadrature squeezing with improvement of phase stability in homodyne measurement.

  2007influential reference
• Quantum teleportation between light and matter

  2006cited by this paper
• Trapped ion quantum computation with transverse phonon modes.

  2006cited by this paper
• Gaussian states in continuous variable quantum information

  2005cited by this paper
• An introduction to entanglement measures

  2005cited by this paper
• Entanglement of two-mode Gaussian states: characterization and experimental production and manipulation

  2005influential reference
• Logarithmic negativity: a full entanglement monotone that is not convex.

  2005cited by this paper
• Quantum Information with Continuous Variables

  2004cited by this paper
• Experimental demonstration of quantum memory for light

  2004cited by this paper
• LETTER TO THE EDITOR: Symplectic invariants, entropic measures and correlations of Gaussian states

  2003cited by this paper
• Received (Day Month Year)

  2003cited by this paper
• Towards quantum entanglement in nanoelectromechanical devices.

  2003cited by this paper
• Realization of the Cirac–Zoller controlled-NOT quantum gate

  2003cited by this paper
• Nanoelectromechanical systems: Nanodevice motion at microwave frequencies

  2003cited by this paper
• Computable measure of entanglement

  2001cited by this paper
• Partial teleportation of entanglement in a noisy environment

  2000cited by this paper
• A comparison of entanglement measures

  1998cited by this paper
• Quantum dynamics of cold trapped ions with application to quantum computation

  1997cited by this paper
• Experimental Issues in Coherent Quantum-State Manipulation of Trapped Atomic Ions

  1997cited by this paper
• Endoscopy in the Paul Trap: Measurement of the Vibratory Quantum State of a Single Ion.

  1996cited by this paper
• Motion tomography of a single trapped ion.

  1996cited by this paper
• Generation of nonclassical motional states of a trapped atom.

  1996cited by this paper
• Demonstration of a fundamental quantum logic gate.

  1995cited by this paper
• Reconstruction of the quantum mechanical state of a trapped ion.

  1995cited by this paper
• Quantum-limited cooling and detection of radio-frequency oscillations by laser-cooled ions.

  1990cited by this paper
• Radiofrequency Spectroscopy of Stored Ions II: Spectroscopy

  1969cited by this paper
• Radiofrequency Spectroscopy of Stored Ions I: Storage

  1968cited by this paper

• Squeezing below the ground state of motion of a continuously monitored levitating nanoparticle

  2024cites this paper
• Two-mode squeezing and SU(1,1) interferometry with trapped ions

  2023cites this paper
• Exponentially enhanced gravitationally induced entanglement between quantum systems with a two-phonon drive

  2023cites this paper
• Improving mechanical squeezing in a dissipative optomechanical system with quadratic dispersive coupling

  2023cites this paper
• Enhanced force sensitivity and entanglement in periodically driven optomechanics

  2020cites this paper
• Strong mechanical squeezing in an optomechanical system based on Lyapunov control

  2020cites this paper
• Amplification of quadratic Hamiltonians

  2018cites this paper
• Generation of large coherent states by bang–bang control of a trapped-ion oscillator

  2016cites this paper
• Fast quantum control and light-matter interactions at the 10,000 quanta level

  2015cites this paper
• Input–output Gaussian channels: theory and application

  2012cites this paper
• Quantum control of the motional states of trapped ions through fast switching of trapping potentials

  2012cites this paper
• Feedback control in quantum optics: an overview of experimental breakthroughs and areas of application

  2012cites this paper
• Testing genuine multipartite nonlocality in phase space

  2012cites this paper
• Would one rather store squeezing or entanglement in continuous variable quantum memories

  2010cites this paper
• Observing different phases for the dynamics of entanglement in an ion trap

  2009cites this paper